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7 months ago

10-2 (2x+1) = 4 (x-2)

Mathematics

2 answers:

Aleks04 [339]7 months ago

7 0

x=2

10-2(2x+1)=4(x-2)

10-4x-2=4x-8

10-2=8x-8

8=8x-8

16=8x

2=x

igor_vitrenko [27]7 months ago

5 0

Answer:

X = 2

Step-by-step explanation:

$\sf \: First, solve \: the \: brackets.$

$\sf \: 10 - 2(2x + 1) = 4(x - 2) \\ \sf10 - 4x - 2 = 4x - 8 \: \: \: \: \: \: \:$

$\sf \: Combine \: like \: terms .$

$\sf8 - 4x = 4x - 8$

$\sf \: Subtract \: 4x \: from \: both \: sides \: to \: remove \: 4x.$

$\sf \: 8 - 4x - 4x = 4x - 8 - 4x \\ \sf8 - 8x = - 8$

$\sf \: Subtract \: 8 \: from \: both \: sides \: to \: remove \: 8.$

$\sf8 - 8 - 8x = - 8 - 8 \\ \sf - 8x = - 16$

$\sf \: Divide \: both \: sides \: by \: -8.$

$\sf \: x = 2$

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